New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials

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Kurt V.

ADVANCES IN DIFFERENCE EQUATIONS, vol.2014, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2014
  • Publication Date: 2014
  • Doi Number: 10.1186/1687-1847-2014-5
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Bernoulli numbers and polynomials, Genocchi polynomials, generating function, generalized Bernoulli polynomials, generalized Genocchi polynomials, q-Bernoulli polynomials, q-Genocchi polynomials
  • Akdeniz University Affiliated: Yes

Abstract

In this article, we give some identities for the q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and recurrence relations between these polynomials in (Mahmudov in Discrete Dyn. Nat. Soc. 2012: 169348, 2012; Mahmudov in Adv. Differ. Equ. 2013: 1, 2013).